A construction of weakly and non-weakly regular bent functions

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:119

Article

Cesmelioglu, Ayca¹  McGuire, Gary²  Meidl, Wilfried¹ 

[1] Sabanci Univ, MDBF, TR-34956 Istanbul, Turkey

[2] Univ Coll Dublin, Sch Math Sci, Dublin, Ireland

关键词: Bent function;    Near-bent function;    Semi-bent function;    Weakly regular;    Non-weakly regular;    Fourier transform;   

DOI  :  10.1016/j.jcta.2011.10.002

来源: Elsevier

【 摘 要 】

In this article a technique for constructing p-ary bent functions from near-bent functions is presented. This technique is then used to obtain both weakly regular and non-weakly regular bent functions. In particular we present the first known infinite class of non-weakly regular bent functions. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free